Submission #339213

# Submission time Handle Problem Language Result Execution time Memory
339213 2020-12-24T20:44:57 Z Kerim Split the sequence (APIO14_sequence) C++17
100 / 100
667 ms 83932 KB
#include "bits/stdc++.h"
#define MAXN 100009
#define INF 1000000007
#define mp(x,y) make_pair(x,y)
#define all(v) v.begin(),v.end()
#define pb(x) push_back(x)
#define wr cout<<"----------------"<<endl;
#define ppb() pop_back()
#define tr(ii,c) for(__typeof((c).begin()) ii=(c).begin();ii!=(c).end();ii++)
#define ff first
#define ss second
#define my_little_dodge 46
#define debug(x)  cerr<< #x <<" = "<< x<<endl;
using namespace std;

typedef long long ll;
typedef pair<ll,int> PII;
template<class T>bool umin(T& a,T b){if(a>b){a=b;return 1;}return 0;}
template<class T>bool umax(T& a,T b){if(a<b){a=b;return 1;}return 0;}
ll dp[MAXN],par[MAXN],odp[MAXN];
const int N=202;
int ata[N][MAXN],sz;
vector<ll>m,b;
vector<int>z;
double inter(int l1,int l2){
	return double(b[l2]-b[l1])/double(m[l1]-m[l2]);
}
bool bad(int l1,int l2,int l3){
	return inter(l1,l3)>inter(l1,l2);	
}
void upd(ll x,ll y,int ind){
	if(sz and m[sz-1]==x and b[sz-1]>=y)
		return;
	if(sz and m[sz-1]==x)
		m.ppb(),b.ppb(),z.ppb(),sz--;
	m.pb(x);b.pb(y);z.pb(ind);sz++;
	while(sz>=3 and bad(sz-3,sz-2,sz-1)){
		m.erase(m.end()-2),b.erase(b.end()-2),z.erase(z.end()-2);
		sz--;
	}
}
int pnt=0;
PII tap(ll x){
	umin(pnt,sz-1);
	while(pnt+1<sz and m[pnt]*x+b[pnt]<m[pnt+1]*x+b[pnt+1])
		pnt++;
	return mp(m[pnt]*x+b[pnt],z[pnt]);
}	
int main(){
    //freopen("file.in", "r", stdin);
    int n,k;
    scanf("%d%d",&n,&k);
    for(int i=1;i<=n;i++){
    	int x;scanf("%d",&x);
    	par[i]=par[i-1]+x;
    }	
	for(int h=1;h<=k;h++){
		m.clear();b.clear();z.clear();sz=0;
		for(int i=h+1;i<=n;i++){
			upd(-par[i-1],dp[i-1]-par[i-1]*par[i-1],i-1);
			PII res=tap(-par[i]);
			odp[i]=res.ff;ata[h][i]=res.ss;
		}
		for(int i=h+1;i<=n;i++)dp[i]=odp[i];
	}
	printf("%lld\n",dp[n]);
	vector<int>ans;int who=ata[k][n],rem=k;
	while(who)
		ans.pb(who),who=ata[--rem][who];
	reverse(all(ans));
	tr(it,ans)printf("%d ",*it);
	puts("");
	return 0;
}

Compilation message

sequence.cpp: In function 'int main()':
sequence.cpp:52:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   52 |     scanf("%d%d",&n,&k);
      |     ~~~~~^~~~~~~~~~~~~~
sequence.cpp:54:17: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   54 |      int x;scanf("%d",&x);
      |            ~~~~~^~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 108 == 108
2 Correct 1 ms 364 KB contestant found the optimal answer: 999 == 999
3 Correct 1 ms 364 KB contestant found the optimal answer: 0 == 0
4 Correct 1 ms 364 KB contestant found the optimal answer: 1542524 == 1542524
5 Correct 1 ms 364 KB contestant found the optimal answer: 4500000000 == 4500000000
6 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
7 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
8 Correct 1 ms 364 KB contestant found the optimal answer: 1 == 1
9 Correct 1 ms 364 KB contestant found the optimal answer: 100400096 == 100400096
10 Correct 1 ms 364 KB contestant found the optimal answer: 900320000 == 900320000
11 Correct 1 ms 364 KB contestant found the optimal answer: 3698080248 == 3698080248
12 Correct 1 ms 364 KB contestant found the optimal answer: 3200320000 == 3200320000
13 Correct 1 ms 364 KB contestant found the optimal answer: 140072 == 140072
14 Correct 1 ms 384 KB contestant found the optimal answer: 376041456 == 376041456
15 Correct 1 ms 364 KB contestant found the optimal answer: 805 == 805
16 Correct 1 ms 364 KB contestant found the optimal answer: 900189994 == 900189994
17 Correct 1 ms 364 KB contestant found the optimal answer: 999919994 == 999919994
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 1093956 == 1093956
2 Correct 1 ms 364 KB contestant found the optimal answer: 302460000 == 302460000
3 Correct 1 ms 620 KB contestant found the optimal answer: 122453454361 == 122453454361
4 Correct 0 ms 364 KB contestant found the optimal answer: 93663683509 == 93663683509
5 Correct 1 ms 364 KB contestant found the optimal answer: 1005304678 == 1005304678
6 Correct 1 ms 364 KB contestant found the optimal answer: 933702 == 933702
7 Correct 1 ms 492 KB contestant found the optimal answer: 25082842857 == 25082842857
8 Correct 1 ms 364 KB contestant found the optimal answer: 687136 == 687136
9 Correct 1 ms 364 KB contestant found the optimal answer: 27295930079 == 27295930079
10 Correct 1 ms 364 KB contestant found the optimal answer: 29000419931 == 29000419931
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 610590000 == 610590000
2 Correct 1 ms 364 KB contestant found the optimal answer: 311760000 == 311760000
3 Correct 2 ms 1388 KB contestant found the optimal answer: 1989216017013 == 1989216017013
4 Correct 1 ms 396 KB contestant found the optimal answer: 1499437552673 == 1499437552673
5 Correct 1 ms 1004 KB contestant found the optimal answer: 1019625819 == 1019625819
6 Correct 2 ms 1260 KB contestant found the optimal answer: 107630884 == 107630884
7 Correct 2 ms 1388 KB contestant found the optimal answer: 475357671774 == 475357671774
8 Correct 1 ms 620 KB contestant found the optimal answer: 193556962 == 193556962
9 Correct 2 ms 492 KB contestant found the optimal answer: 482389919803 == 482389919803
10 Correct 1 ms 620 KB contestant found the optimal answer: 490686959791 == 490686959791
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB contestant found the optimal answer: 21503404 == 21503404
2 Correct 1 ms 364 KB contestant found the optimal answer: 140412195 == 140412195
3 Correct 7 ms 2028 KB contestant found the optimal answer: 49729674225461 == 49729674225461
4 Correct 1 ms 364 KB contestant found the optimal answer: 37485571387523 == 37485571387523
5 Correct 7 ms 2028 KB contestant found the optimal answer: 679388326 == 679388326
6 Correct 7 ms 1772 KB contestant found the optimal answer: 4699030287 == 4699030287
7 Correct 7 ms 2028 KB contestant found the optimal answer: 12418819758185 == 12418819758185
8 Correct 6 ms 2028 KB contestant found the optimal answer: 31093317350 == 31093317350
9 Correct 2 ms 764 KB contestant found the optimal answer: 12194625429236 == 12194625429236
10 Correct 4 ms 1004 KB contestant found the optimal answer: 12345131038664 == 12345131038664
# Verdict Execution time Memory Grader output
1 Correct 3 ms 1004 KB contestant found the optimal answer: 1818678304 == 1818678304
2 Correct 3 ms 1024 KB contestant found the optimal answer: 1326260195 == 1326260195
3 Correct 66 ms 9580 KB contestant found the optimal answer: 4973126687469639 == 4973126687469639
4 Correct 3 ms 1132 KB contestant found the optimal answer: 3748491676694116 == 3748491676694116
5 Correct 41 ms 5996 KB contestant found the optimal answer: 1085432199 == 1085432199
6 Correct 53 ms 6764 KB contestant found the optimal answer: 514790755404 == 514790755404
7 Correct 54 ms 7532 KB contestant found the optimal answer: 1256105310476641 == 1256105310476641
8 Correct 41 ms 6380 KB contestant found the optimal answer: 3099592898816 == 3099592898816
9 Correct 44 ms 7020 KB contestant found the optimal answer: 1241131419367412 == 1241131419367412
10 Correct 55 ms 8812 KB contestant found the optimal answer: 1243084101967798 == 1243084101967798
# Verdict Execution time Memory Grader output
1 Correct 23 ms 5980 KB contestant found the optimal answer: 19795776960 == 19795776960
2 Correct 23 ms 6108 KB contestant found the optimal answer: 19874432173 == 19874432173
3 Correct 587 ms 83932 KB contestant found the optimal answer: 497313449256899208 == 497313449256899208
4 Correct 25 ms 6876 KB contestant found the optimal answer: 374850090734572421 == 374850090734572421
5 Correct 667 ms 83208 KB contestant found the optimal answer: 36183271951 == 36183271951
6 Correct 519 ms 59864 KB contestant found the optimal answer: 51629847150471 == 51629847150471
7 Correct 541 ms 64348 KB contestant found the optimal answer: 124074747024496432 == 124074747024496432
8 Correct 428 ms 53492 KB contestant found the optimal answer: 309959349080800 == 309959349080800
9 Correct 436 ms 60124 KB contestant found the optimal answer: 124113525649823701 == 124113525649823701
10 Correct 550 ms 75868 KB contestant found the optimal answer: 124309619349406845 == 124309619349406845